A. Zamani

collaborators

3 papers

math.FA2024

An extension of the $I ¨ $ -operator radii

Fuad Kittaneh, Ali Zamani

We define a function on the $C^{*}$ -algebra of all bounded linear Hilbert space operators, which generalizes the operator radii, and we present some basic properties of this fun…

math.OA2024

New estimates for numerical radius in $C^{*}$ -algebras

Ali Zamani

Several numerical radius inequalities in the framework of $C^{*}$ -algebras are proved in this paper. These results, which are based on an extension of Buzano inequality for elements…

math.FA2024

Characterizations of $w_{I ¨} $ -Birkhoff--James orthogonality and $w_{I ¨} $ -parallelism

Fuad Kittaneh, Ali Zamani

We study the concepts of Birkhoff--James orthogonality and parallelism in Hilbert space operators, induced by the operator radius norm $w_{I ¨} (\cdot)$ . In particular, we completely c…

An extension of the I¨-operator radii

New estimates for numerical radius in C∗-algebras

Characterizations of wI¨​-Birkhoff--James orthogonality and wI¨​-parallelism

An extension of the $I ¨ $ -operator radii

New estimates for numerical radius in $C^{*}$ -algebras

Characterizations of $w_{I ¨} $ -Birkhoff--James orthogonality and $w_{I ¨} $ -parallelism